A new approach on helices in pseudo-Riemannian manifolds (Q1724810)

Summary: A proper curve \(\alpha\) in the \(n\)-dimensional pseudo-Riemannian manifold \((M, g)\) is called a \(V_n\)-slant helix if the function \(g(V_n, X)\) is a nonzero constant along \(\alpha\), where \(X\) is a parallel vector field along \(\alpha\) and \(V_n\) is \(n\)th Frenet frame. In this work, we study such curves and give important characterizations about them.